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Finding the Third Proportional to 13,721.91 and 29,425.78

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Solution

The third proportional to 13,721.91 and 29,425.78 is: 63,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.91 : 29,425.78 = 29,425.78 : x
  2. Step 2: Convert to fraction form
    13,721.91/29,425.78 = 29,425.78/x
  3. Step 3: Cross multiply
    13,721.91x = 29,425.78 × 29,425.78
  4. Step 4: Simplify right side
    13,721.91x = 865,876,602.17
  5. Step 5: Solve for x
    x = 865,876,602.17/13,721.91
  6. Step 6: Final answer
    x = 63,101.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.